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Atlas › Integer Profiles › Node 4,544,007

4,544,007

3 × 13 × 37 × 47 × 67
Deficient Odd Composite

4,544,007 factors as 3 × 13 × 37 × 47 × 67. Its 32 positive divisors give a proper-divisor sum of 2,401,785, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3 × 13 × 37 × 47 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,945,792
Proper Divisor Sum 2,401,785
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4543993 ← → #4544009

Radix Representation

Decimal 4544007
Binary 10001010101011000000111 (23 bits)
Octal 0o21253007
Hexadecimal 0x455607

Divisor Catalog (32)

1 3 13 37 39 47 67 111 141 201 481 611 871 1,443 1,739 1,833 2,479 2,613 3,149 5,217 7,437 9,447 22,607 32,227 40,937 67,821 96,681 116,513 122,811 349,539 1,514,669 4,544,007

Collatz Trajectory (87 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,544,007 13,632,022 6,816,011 20,448,034 10,224,017 30,672,052 15,336,026 7,668,013 23,004,040 11,502,020 5,751,010 2,875,505 8,626,516 4,313,258 2,156,629 6,469,888 3,234,944 1,617,472 808,736 404,368 202,184 101,092 50,546 25,273 75,820 37,910 18,955 56,866 28,433 85,300 42,650 21,325 63,976 31,988 15,994 7,997 23,992 11,996 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134

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